A hunter 1.6 m tall, views a bird on top of a tree at an angle of 45^\circ. if the distance between the hunter and the tree is 10.4 m, find the height of the tree.
A
9.0 m
B
12. 0 m
C
8.8 m
D
10.4 m
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\tan 45 = \frac{x}{10.4}\) = 10.4m
\(height of the tree is equal to 1.6m + 10.4m=12m\)
Source: Myschool Past Questions Archive (Record #3380)